Class information for:
Level 1: CANONICAL DUALITY THEORY//TRIALITY THEORY//CANONICAL DUALITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23205 354 19.6 30%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
16 4 ENGINEERING, CIVIL//CONSTRUCTION & BUILDING TECHNOLOGY//MECHANICS 627508
323 3       FREE VIBRATION//MECHANICS//BUCKLING 38564
3492 2             WRINKLING//INFLATABLE STRUCTURES//CANONICAL DUALITY THEORY 1449
23205 1                   CANONICAL DUALITY THEORY//TRIALITY THEORY//CANONICAL DUALITY 354

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 CANONICAL DUALITY THEORY authKW 939241 4% 78% 14
2 TRIALITY THEORY authKW 528325 2% 88% 7
3 CANONICAL DUALITY authKW 424646 2% 62% 8
4 CANONICAL DUAL TRANSFORMATION authKW 345030 1% 100% 4
5 CANONICAL DUAL FUNCTION authKW 258772 1% 100% 3
6 COMPLEMENTARY VARIATIONAL PRINCIPLE authKW 197156 1% 57% 4
7 TRIALITY authKW 188820 3% 24% 9
8 BI DUALITY authKW 172515 1% 100% 2
9 CANONICAL DUAL FINITE ELEMENT METHOD authKW 172515 1% 100% 2
10 DISHED SHALLOW SHELLS authKW 172515 1% 100% 2

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mechanics 8510 53% 0% 189
2 Mathematics, Applied 2063 31% 0% 109
3 Engineering, General 889 12% 0% 44
4 Operations Research & Management Science 517 9% 0% 32
5 Mathematics, Interdisciplinary Applications 359 8% 0% 27
6 Engineering, Aerospace 83 3% 0% 9
7 Materials Science, Characterization, Testing 76 2% 0% 7
8 Multidisciplinary Sciences 65 3% 0% 9
9 Engineering, Mechanical 52 5% 0% 17
10 Engineering, Civil 35 3% 0% 12

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 SCI INFORMAT TECHNOL ENGN 109048 4% 9% 14
2 KATEDRA PODSTAW TECHN 86257 0% 100% 1
3 LEHRSTUHL MECH 2 86257 0% 100% 1
4 MATH O 86257 0% 100% 1
5 PASCI 43128 0% 50% 1
6 SH OTOU DESERT ENVIRONM STN 43128 0% 50% 1
7 NAVAL ARCHITECTURE OCEAN CIVIL ENGINEER 28751 0% 33% 1
8 FLUID FLOW MACHINERY 10880 2% 2% 7
9 MATH SCI SEMFE 8624 0% 10% 1
10 COMP CONTROL MANAGEMENT ENGN 8253 1% 3% 3

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME 19714 10% 1% 36
2 INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 13960 6% 1% 23
3 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 13931 8% 1% 28
4 INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES 6545 8% 0% 27
5 JOURNAL OF GLOBAL OPTIMIZATION 4701 3% 0% 11
6 SOLID MECHANICS ARCHIVES 4536 1% 3% 2
7 ARCHIVES OF MECHANICS 4450 2% 1% 6
8 INGENIEUR ARCHIV 3342 1% 1% 4
9 JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION 2861 1% 1% 5
10 JOURNAL OF ELASTOMERS AND PLASTICS 2850 1% 1% 5

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 CANONICAL DUALITY THEORY 939241 4% 78% 14 Search CANONICAL+DUALITY+THEORY Search CANONICAL+DUALITY+THEORY
2 TRIALITY THEORY 528325 2% 88% 7 Search TRIALITY+THEORY Search TRIALITY+THEORY
3 CANONICAL DUALITY 424646 2% 62% 8 Search CANONICAL+DUALITY Search CANONICAL+DUALITY
4 CANONICAL DUAL TRANSFORMATION 345030 1% 100% 4 Search CANONICAL+DUAL+TRANSFORMATION Search CANONICAL+DUAL+TRANSFORMATION
5 CANONICAL DUAL FUNCTION 258772 1% 100% 3 Search CANONICAL+DUAL+FUNCTION Search CANONICAL+DUAL+FUNCTION
6 COMPLEMENTARY VARIATIONAL PRINCIPLE 197156 1% 57% 4 Search COMPLEMENTARY+VARIATIONAL+PRINCIPLE Search COMPLEMENTARY+VARIATIONAL+PRINCIPLE
7 TRIALITY 188820 3% 24% 9 Search TRIALITY Search TRIALITY
8 BI DUALITY 172515 1% 100% 2 Search BI+DUALITY Search BI+DUALITY
9 CANONICAL DUAL FINITE ELEMENT METHOD 172515 1% 100% 2 Search CANONICAL+DUAL+FINITE+ELEMENT+METHOD Search CANONICAL+DUAL+FINITE+ELEMENT+METHOD
10 DISHED SHALLOW SHELLS 172515 1% 100% 2 Search DISHED+SHALLOW+SHELLS Search DISHED+SHALLOW+SHELLS

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 GAO, DY , RUAN, N , SHERALI, HD , (2009) SOLUTIONS AND OPTIMALITY CRITERIA FOR NONCONVEX CONSTRAINED GLOBAL OPTIMIZATION PROBLEMS WITH CONNECTIONS BETWEEN CANONICAL AND LAGRANGIAN DUALITY.JOURNAL OF GLOBAL OPTIMIZATION. VOL. 45. ISSUE 3. P. 473 -497 22 88% 12
2 GAO, DY , (2009) CANONICAL DUALITY THEORY: UNIFIED UNDERSTANDING AND GENERALIZED SOLUTION FOR GLOBAL OPTIMIZATION PROBLEMS.COMPUTERS & CHEMICAL ENGINEERING. VOL. 33. ISSUE 12. P. 1964 -1972 20 71% 7
3 LATORRE, V , GAO, DY , (2016) CANONICAL DUALITY FOR SOLVING GENERAL NONCONVEX CONSTRAINED PROBLEMS.OPTIMIZATION LETTERS. VOL. 10. ISSUE 8. P. 1763 -1779 13 87% 1
4 GAO, DY , (2016) ANALYTICAL SOLUTIONS TO GENERAL ANTI-PLANE SHEAR PROBLEMS IN FINITE ELASTICITY.CONTINUUM MECHANICS AND THERMODYNAMICS. VOL. 28. ISSUE 1-2. P. 175 -194 20 51% 1
5 LATORRE, V , GAO, DY , (2016) GLOBAL OPTIMAL TRAJECTORY IN CHAOS AND NP-HARDNESS.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 26. ISSUE 8. P. - 12 92% 0
6 GAO, DY , YANG, WC , (2008) MINIMAL DISTANCE BETWEEN TWO NON-CONVEX SURFACES.OPTIMIZATION. VOL. 57. ISSUE 5. P. 705 -714 13 100% 3
7 JIN, Z , GAO, DY , (2017) ON MODELING AND GLOBAL SOLUTIONS FOR D.C. OPTIMIZATION PROBLEMS BY CANONICAL DUALITY THEORY.APPLIED MATHEMATICS AND COMPUTATION. VOL. 296. ISSUE . P. 168 -181 16 64% 0
8 RUAN, N , GAO, DY , (2014) GLOBAL OPTIMAL SOLUTIONS TO GENERAL SENSOR NETWORK LOCALIZATION PROBLEM.PERFORMANCE EVALUATION. VOL. 75-76. ISSUE . P. 1 -16 17 63% 2
9 PIETRASZKIEWICZ, W , (2012) ON EXACT EXPRESSIONS OF THE BENDING TENSOR IN THE NONLINEAR THEORY OF THIN SHELLS.APPLIED MATHEMATICAL MODELLING. VOL. 36. ISSUE 4. P. 1821 -1824 11 92% 1
10 GAO, DY , YU, HF , (2008) MULTI-SCALE MODELLING AND CANONICAL DUAL FINITE ELEMENT METHOD IN PHASE TRANSITIONS OF SOLIDS.INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. VOL. 45. ISSUE 13. P. 3660-3673 10 100% 6

Classes with closest relation at Level 1


Rank Class id link
1 29410 PRESTRESSED STAYED COLUMNS//CABLED COLUMNS//COMPRESSIVE MEMBRANES
2 12413 WRINKLING//INFLATABLE STRUCTURES//INFLATABLE BEAMS
3 17040 COMPLETELY POSITIVE MATRICES//COPOSITIVE MATRICES//COPOSITIVE PROGRAMMING
4 12780 FINITE ROTATIONS//GEOMETRICALLY EXACT BEAM//CONSERVING TIME INTEGRATION
5 10136 NORMAL COMPLIANCE//HEMIVARIATIONAL INEQUALITY//CLARKE SUBDIFFERENTIAL
6 12910 INT MATH MECH COMPLEX SYST//PANTOGRAPHIC STRUCTURES//MICROPOLAR ELASTICITY
7 30046 FAST FILLING//FAST FILLING PROCESS//COMPRESSED HYDROGEN STORAGE
8 9864 LINEARIZED ELASTICITY//LIU BIE JU MATH SCI//ELASTIC MULTI STRUCTURES
9 7992 GLOBAL OPTIMIZATION//JOURNAL OF GLOBAL OPTIMIZATION//SUM OF RATIOS
10 5667 NONLINEAR NORMAL MODES//NONLINEAR VIBRATION//AUTOMAT BIOMECH

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